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Chapter 5: Q 39. (page 452)

Solve the following integral.

鈭�secxtan3xdx

Short Answer

Expert verified

Answer issec3x3-secx+C

Step by step solution

01

Step 1. Given information

An integral is鈭�secxtan3xdx

02

Step 2. Explanation

鈭�secxtan3xdx=鈭�sec2x-1secxtanxdx

Let u=secx

鈭�secxtan3xdx=鈭�u2-1du=u33-u+C=sec3x3-secx+C

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